COORDINATE GEOMETRY COMPLETE THEORY in One Video | SSC CGL, CHSL, RRB Magnamentor Maths malayalam

[00:00:00]In the chapter on Coordinate Geometry All that is important Things we do in this single video I'm going to do it. SSC Railway For all your exams A complete revision can be used.

[00:00:10]It can be seen that way. Earlier Revision Series of Chapters I have done it, please check it.

[00:00:16]Try it, then coordinate geometry.

[00:00:18]When we say that, in our geometry It is a part, and it is called apse.

[00:00:23]We call X Ax The Y axis is called the coordinate.

[00:00:26]We are calling it a figure.

[00:00:28]If we draw, we have a three-dimensional You can draw a figure or a 3D plane.

[00:00:33]There is an X axis as well as a Y axis.

[00:00:36]Yes, there is a Z axis. Here we are If you look at it, this is the XY plane.

[00:00:41]That's how it is said This is our XZ plane now.

[00:00:49]We will call it a Z plane.

[00:00:52]This is the X axis and the Y axis as well.

[00:00:55]The Z axis is now our quadrant.

[00:00:59]Let's see what the quadrant is.

[00:01:00]When you say four quadra, It's four, so we'll start with this one here.

[00:01:05]This is the second from the quadrant.

[00:01:06]This is the third quadrant from Quadrant is also called the fourth.

[00:01:09]We can also say quadrant then.

[00:01:11]Here is a point I call P.

[00:01:13]After taking one point, I Let's write XY here P After taking the said point On the X axis when going here Negative is written as MINAY.

[00:01:24]Saying "P" while descending If you want to take points, here is mine.

[00:01:27]Why can I write -a -y below?

[00:01:30]Let's say that. Here is a If the point is taken, then P = right.

[00:01:33]Sidelot X is positive.

[00:01:35]What is negative? That's it.

[00:01:36]What is written here is first X in the coordinator is zero or zero.

[00:01:40]This is the point called zero. So X gray zero Y in the first quadrant Ga Similarly, X in the second quadrant What is less than zero and greater than zero?

[00:01:49]From here to the fair, from here to the top.

[00:01:51]Positive is down and Y is negative.

[00:01:54]This is just a representation.

[00:01:56]Then in the third quadrant, there is zero and zero.

[00:01:58]Zero is what is written here, both The fourth quadrant will be minus.

[00:02:01]X Gray Zero is going here below.

[00:02:04]This is zero, here x is positive.

[00:02:06]Here x is negative.

[00:02:08]The mail is positive here.

[00:02:10]Downward is negative for me here.

[00:02:14]Fourth Quadrant x Greater Than You can write zeroylen zero This is how we quadrant It indicates two things.

[00:02:20]I studied and saw a x-axis plane.

[00:02:24]Or xsa plane and xy plane are Ysd.

[00:02:26]How to draw a plan We understand this graphically.

[00:02:31]Let's look at the representation that is a line.

[00:02:35]If you say on axis, then P.

[00:02:37]When the point being made is original If you say the original point What will happen to us?

[00:02:41]If you draw this, this is X and this is Y.

[00:02:43]If this is a point, then It will be our P who says Point is, what is zero zero?

[00:02:48]Let's mark S a little bit smaller.

[00:02:50]Reduce AY So that's probably what's in the original.

[00:02:55]A point is now a line parallel to a line.

[00:02:57]The two Y axes are parallel to the Y axis.

[00:02:59]The current lineup If you say that, what would be X?

[00:03:02]Let's see if it will be on the axis.

[00:03:05]How is Akil Point P on X?

[00:03:08]What will Y be if it becomes A?

[00:03:09]It will be zero so we are in the figure.

[00:03:11]Drawing a xy plane inside it x axis y If the axis is parallel to the y axis, then the line is parallel to the x axis.

[00:03:19]Or P on A is P on X.

[00:03:22]If I say axis, I mean this point P.

[00:03:24]I am giving it here. It is so far away.

[00:03:26]It is at a distance called A.

[00:03:27]What can I say if I say "Sansantopia"?

[00:03:29]If P is on the x-axis, it is called a zero.

[00:03:32]Or what would be the y coordinate?

[00:03:33]It will be zero. So what's there?

[00:03:37]The point is X axis.

[00:03:39]If there is a point, then there is a point.

[00:03:40]The coordinate will be zero, and so will the line.

[00:03:42]That line is parallel to the X axis.

[00:03:44]Now, if you look at it, what is a line parallel?

[00:03:47]You don't have to look at the Y axis.

[00:03:50]If the node is on the X axis If the point is on the X axis Even there, the y coordinate is zero.

[00:03:55]It will be the same as point PY.

[00:03:57]How to draw this if it is on the axis?

[00:03:59]The point PY is the axis XY.

[00:04:03]It says somewhere here If it is here, let us What can I say? There is a y coordinate. This Even if the distance is A or lower Maybe. But what is the x coordinate?

[00:04:11]It is zero. This will be called Zero A.

[00:04:13]Representing. Oh my.

[00:04:16]Point P on the axis is called If it is the Y axis, then its X axis The coordinate will be zero. Now Next is the Equation of a Line Parallel to X axis. This is our parallel.

[00:04:25]To X axis. So how is that figure?

[00:04:27]What is coming? This is the X axis and this is the Y axis.

[00:04:29]If the axis is also a line parallel to X Axis, sorry, I'll write it back. This X and If this is X and this is Y, then the lines are parallel.

[00:04:40]To X axis. For the X axis After drawing a parallel line, What is special here? Here, here, here.

[00:04:45]What will be the coordinate constant?

[00:04:47]Will be. So how far is this distance?

[00:04:49]I think it's A. If so What are all these coordinates?

[00:04:52]It will be the same. This is zero eva.

[00:04:55]If it's one here, then one plus one here minus one.

[00:04:57]If it is myone, then it is mytwo, so all What can we do?

[00:05:01]Okay, so here is the equation of a line.

[00:05:04]If it is parallel to the Y axis, then the X axis is correct.

[00:05:06]If Y is constant, what will it be?

[00:05:08]It will be the same as if we were drawing lines parallel to each other.

[00:05:10]If it is Ax, how do you draw a figure like that?

[00:05:12]Can I have this X axis and this Y axis?

[00:05:15]If Here, the Y axis is parallel to the x axis.

[00:05:20]After I finish drawing, here What will be the X coordinate of the same?

[00:05:23]What is the matter here?

[00:05:24]If the point is B, then B.

[00:05:27]What will be constant everywhere?

[00:05:28]What did only Abeer do?

[00:05:30]Change is done like this.

[00:05:32]I will be doing it, then the line will be parallel to What would that be if Y was an axis?

[00:05:35]X coordinate X coordinate What will always be constant?

[00:05:38]The line will be parallel to the x axis.

[00:05:39]If the y coordinate is constant It will be the same as the line parallel to Y.

[00:05:43]If it is an axis, then its A coordinate Point on will be constant from now on.

[00:05:48]X Axis and Y Axis Support A point on the axis X axis If you say there is a point, always What will be the y coordinate zero?

[00:05:55]There will be a zero distance here.

[00:05:56]Just take minus A minus this distance.

[00:05:59]If so, minus A zero, whatever.

[00:06:02]If the point is on the x-axis, then y The coordinate will be zero as well.

[00:06:06]If a point is on the axis, then its What will be the x coordinate?

[00:06:09]What is zero here? No matter how much Depending on this distance, Y will change to ApoY.

[00:06:12]If the point on the axis is X What will be the coordinate zero?

[00:06:16]It will be very, very important.

[00:06:17]Point on X is a thing that has become Represents Axis A zero.

[00:06:20]If we do Y axis, we get zero B.

[00:06:22]It can be represented as very very It is important to draw it as a figure.

[00:06:26]So, I draw like this I have a point on the X axis.

[00:06:30]Let's say A is zero on the Y axis.

[00:06:32]This is a point on the X-Y axis.

[00:06:34]I will represent Zeroby.

[00:06:37]The next thing is very important.

[00:06:39]Our distance formula is distance.

[00:06:41]Formula for the distance between two points I am the distance between two points.

[00:06:45]Once drawn as a figure, this Our A axis is the Y axis.

[00:06:50]There is a burning point called the queue.

[00:06:51]There is a point where P and Q are I need distance. P I have a point that says It is called xOne Life. What is K?

[00:07:00]I will call the point you are talking about x-tawita.

[00:07:02]Giving. Okay, if that's the case.

[00:07:03]The distance between this and this.

[00:07:05]If we say that, we are parallel lines.

[00:07:06]I'm doing it by drawing, so I'm doing this.

[00:07:08]This is how you draw a parallel line.

[00:07:11]The person in the middle of this is saying that this is food.

[00:07:13]Okay, so how far is this distance?

[00:07:17]From x to x, this is x to equal.

[00:07:20]If you say this distance, this distance What is it from here to here?

[00:07:24]It is wide from here to here, it, it is wide from here, it is wide from here, it is wide from here So here is the distance formula.

[00:07:31]What is the length of our pic?

[00:07:33]Once it gets to 9 degrees here, pick If you say square, the square of this That's what the square of this is.

[00:07:38]Let's take a look here and see who this is.

[00:07:40]Given Px = QR Scrum PR You are not the one who is adding the screws.

[00:07:44]Don't look.

[00:07:46]What if we say "our"?

[00:07:48]If we say that this distance is our PR What is this distance? What is it?

[00:07:53]The distance formula you don't need to think about That said, two points.

[00:07:56]Two points have been given.

[00:07:57]The distance between P and Q is The point is the derivation is the derivation.

[00:08:02]I suddenly realized that you didn't see the derivation.

[00:08:03]We just said what we need.

[00:08:05]This is the number 1.

[00:08:07]Point Even Life Kyavin's point If it's wide, that distance between If you say goat points pick What will be the route of the off-white Mavivo?

[00:08:18]It's okay to write "skta mava" (root) Offwhite Mwai Sktamaol This will be very very Two coordinates are important.

[00:08:27]Given that between those two points After asking about the distance, There are so many questions like this throughout the season.

[00:08:32]That one of the perpendicular bisectors Distance has been asked or that We have been asked for a long time.

[00:08:38]It's very easy to do with this formula.

[00:08:40]Okay.

[00:08:40]This is a horizontal and vertical line.

[00:08:43]So what do we mean by horizontal line?

[00:08:46]Let's see, if we say horizontal line How can we sit in a straight line?

[00:08:49]Draw this is X and this is Y.

[00:08:52]We are like this line.

[00:08:54]Horizontal This is what is called a horizontal line.

[00:08:58]The horizontal line means this distance.

[00:09:00]What will always be constant?

[00:09:01]Will be parallel to the X axis.

[00:09:03]The line that is there will be a What did the coordinate change not do?

[00:09:07]If you don't do it, you can come to the slope.

[00:09:08]The coordinates were not changed.

[00:09:10]What will the coordinate always be?

[00:09:10]Will be constant or line It will be parallel to the X axis. Line Y parallel to the X axis What will the coordinate always be?

[00:09:16]It will be constant. Now the slope If you say "slope", We mean a line.

[00:09:22]When you say slope, you mean slope.

[00:09:23]I mean our X axis.

[00:09:25]Base or base the axis By relating the axis Saying. On this x axis Looking at how much this is It is tilted. Then the slope What is determined? Our y1 -y2 Or y2 is -y2 -yva. y2 -yiva x2 -A1 means this is the change in the y-axis.

[00:09:42]Change X in Divide by A axis When looking at the two X's When looking at the distance of the point Y What is the slope of the line y2 y2 -yva /a2?

[00:09:51]Our value is called Maeva.

[00:09:53]What is meant by slope is the slope.

[00:09:54]That is to say. The yy coordinate Difference by X coordinate difference That is what we call our slope.

[00:09:58]Or haven't we seen this food here?

[00:09:59]Don't you see, this is the food we are feeding on?

[00:10:01]That is to say. I thought about this slope.

[00:10:03]Look, I'm a tanner.

[00:10:04]Taking. Tan of Theta If so, what?

[00:10:07]Opposite side by adjacent side This is the slope.

[00:10:13]That is to say. The value of this feed is Our slope. That one line is so long.

[00:10:16]What's that line without sitting straight?

[00:10:18]Doing? It's raining so much. This The slope is called the feed.

[00:10:21]Or is it food to feed the tan?

[00:10:23]What do we mean by that?

[00:10:25]It's okay to say "slope" How much value is there in that ratio?

[00:10:30]The ratio is what we call the slope.

[00:10:31]This is theta, tan inverse mva/2 mva.

[00:10:34]So what is the value of this feed?

[00:10:37]The value for this is the slope or Denotes slope. Here In the case we gave y2 as myva -a1 What is the y coordinate here?

[00:10:45]No change. So this horizontal line What will be the slope? Zero Will be. So here we go.

[00:10:50]Let's look at that formula and see what the food is.

[00:10:53]We call it slope.

[00:10:54]Slope is the slope of the slope /A2 slope x2 Maeva gave two points and xYvon xDavaita gave two points and slopped.

[00:11:03]What if you were asked?

[00:11:04]The difference in its y coordinate is enough.

[00:11:06]Take the upper right corner and divide it by its Take the x coordinate difference and multiply it by 0.

[00:11:11]This is all revision, like revision.

[00:11:13]It was said that revision is for those who have already studied.

[00:11:15]What I was told to do was basic class.

[00:11:17]Otherwise, okay.

[00:11:18]So the horizontal line here What will be the slope for us zero?

[00:11:21]will be tan theta will be zero If so, tan zero is tan zero.

[00:11:26]Zero, that's our food.

[00:11:28]Slope means slope.

[00:11:29]It says theta will be zero now.

[00:11:31]When the vertical line comes When the vertical line comes How does the vertical line come about?

[00:11:36]It will be like this when it arrives.

[00:11:37]The vertical line is the X axis.

[00:11:40]This is the Y axis. This is the vertical line.

[00:11:42]It means on a vertical line.

[00:11:43]What is this distance seam?

[00:11:45]What is X when you say distance?

[00:11:46]The coordinates are the same, right?

[00:11:48]Only the change was made. This is it.

[00:11:50]It will be parallel to. Apex What will be the coordinate here?

[00:11:53]Will be.S X coordinate same If so, let's get the slope here.

[00:11:56]It is food. y2 -yva /a2 -a1. xta maeva e This is a xta and is a xta.

[00:12:05]Here x2 Maeva will be zero.

[00:12:07]The thing here will be X.

[00:12:08]There is no change in the coordinate, so something If you say "By zero up something by zero" The note is defined by the note.

[00:12:14]Theta is the one that defines theta.

[00:12:16]Or infinity is theta In the case of infinity, theta is called What would it be if I said 90?

[00:12:21]So here we can say that a line is parallel.

[00:12:25]Parallel to the x-axis The slope of the horizontal line being drawn Zero is LOP is zero but Ours, drawn vertically, Here the X axis is vertical.

[00:12:36]What does vertical mean?

[00:12:37]Our normal x axis is for that.

[00:12:38]This line that runs vertically What will be the slope of 90 degrees?

[00:12:41]It will be a tan off that angle.

[00:12:45]What is the measure of an undefined angle?

[00:12:47]What angle is Undefined for Andadaan?

[00:12:49]It is 90 degrees to the vertical.

[00:12:51]The slope of the line is 90 degrees to the horizontal.

[00:12:54]What will be the slope of the line zero?

[00:12:55]Degree will be very important.

[00:12:57]The next thing is the angle between two.

[00:13:00]Lines Given two lines, find their angle.

[00:13:03]After asking, the angle of two lines What do you think after asking?

[00:13:06]Theta EMT MAMVA BIVAPAMVAETA So you're saying there are two lines.

[00:13:14]There are lines on the first slope.

[00:13:17]If the slope of the second is M You are the angle between it.

[00:13:21]Tan theta of an angle Angle theta If so, how to find the tan feed?

[00:13:24]What happened to those two slopes?

[00:13:25]Reduce the number of times you can use Parallel Lines is an important formula.

[00:13:32]If it is two parallel lines, then If you say a slope para lines What do you mean by this one line and this one?

[00:13:38]What is a line and a parallel?

[00:13:39]I didn't do it, I didn't get into trouble.

[00:13:40]Only if the slope and its slope are the same.

[00:13:42]What can I do?

[00:13:43]Two parallel lines will not collide.

[00:13:44]If two lines are parallel, then The distance between them is the same.

[00:13:48]Their slope will be the same.

[00:13:50]What will be the slope equal to?

[00:13:53]Slope of two parallel lines What will be equal to two?

[00:13:56]Because the soap of Pala Lines is equal Let's find the angle between them.

[00:13:59]Theta is called this zero by something.

[00:14:01]By theta zero, What is theta zero for us? But What do you mean by perpendicular lines?

[00:14:06]Their angle of attack is 90 degrees.

[00:14:08]Will be. Up angle 90 degrees So what can we say?

[00:14:12]Or that product of this is very It is important that the two lines are parallel.

[00:14:15]If so, what will be their slope?

[00:14:17]Will be zero or slopes Slopes will be equal.

[00:14:20]Theta will be zero, sometimes.

[00:14:22]No gap, just an angle.

[00:14:23]Nothing but Perpendicular Two lines are perpendicular.

[00:14:27]If so, then its product of slopes If you say, what would be minus one?

[00:14:30]It will be very, very important.

[00:14:32]If you give it here, give it here.

[00:14:33]Two perpendicular lines are enough.

[00:14:35]What if I said, what would it be like?

[00:14:36]If the lines are perpendicular, then the distance between them is What angle is 90 degrees? Two lines If it is parallel, there is no other angle. Person It is zero. Up here, turn 90 degrees.

[00:14:43]After giving Tan 90, Tan 90 is called If you say In the first case, we will give tan zero.

[00:14:48]When tan is given zero, then EA2 MAE+AVMTA When going here, Zero EM2 MMA Or m2 -eva = zero so m1 = m2 came. 90 for this second case Giving and taking. Then for 90 What can we give instead? Tan 90 = That is, 1 by zero. 9 is It's by zero, so to speak. Or not It is defined as 1 by zero equals 2.

[00:15:12]Bye-bye It will come. It will go here, Zero.

[00:15:15]I will go here. Aponepamvaedu The equation will be zero, and the equation will be zero.

[00:15:23]What will happen if two lines are perpendicular?

[00:15:25]If the product of its slopes is If you say that, how much is minus one?

[00:15:29]It will be very, very important.

[00:15:31]Okay, now for a straight line.

[00:15:33]Let's look at the slope of a straight line.

[00:15:35]These things are very important.

[00:15:36]You have to learn everything.

[00:15:38]Write it down, take notes, and write it down.

[00:15:39]I'll give this to the class as a note.

[00:15:41]Slope of a lineA+By+So That is, a straight line It is a general equation. What did you do then?

[00:15:48]My mother came over here.

[00:15:52]Everything inside this is marked with a B.

[00:15:53]When dividing, why is my book a book?

[00:15:57]It was called Bybee. The slope here What would it be like if you said that? M is Or my name is a boy or a girl.

[00:16:06]= Slope of the line that says zero If you say M, what will be the main A?

[00:16:10]It will be a bible. Or one thing Enough is enough.

[00:16:14]In the form y = MA+C Change what you want.

[00:16:20]That will be our coefficient.

[00:16:21]That's called a slope. Here A+By+S = If you want to make only zero-valued, then B You have to divide everywhere.

[00:16:27]When you go beyond that, you will go negative.

[00:16:29]Bybee will be the slope of this.

[00:16:31]What you are saying is very, very important.

[00:16:32]So y = -a/b that's our slope.

[00:16:36]That is the slope that is called m.

[00:16:38]What is slope? -a /b y = mx+z Let's change the formula to: Apovai It should be one with The coefficient coefficient should be set to one.

[00:16:47]Okay, let's get to the section formula.

[00:16:51]Let's look at the formula that says, "This is also very It is very important. This is the thing.

[00:16:54]This is what people will learn after studying so much.

[00:16:56]I don't look. It is very, very important.

[00:16:58]Now what is this internal division?

[00:16:59]Let's see if there is an external division.

[00:17:01]First let's do internal division.

[00:17:02]Let's see what it is. In the first case I I am saying.

[00:17:06]I draw a line like this. This is AB It's a line that says. Its What are you doing inside, P?

[00:17:13]The point divides it. This It is an internal division. What's inside?

[00:17:19]The point AB is made.

[00:17:21]Dividing. The coefficient of A x1 is. The coefficient of B is x2y2.

[00:17:27]We need the coordinate of P.

[00:17:29]If it's an internal division, that ratio exists.

[00:17:32]That is, from A to P, M units.

[00:17:35]If P to B is n units.

[00:17:38]If so, let's say AP Or let's say AP by PB.

[00:17:44]If we say M by A, then from A to P, M is If P to B, what is N?

[00:17:50]If this is the unit of M from here to here This is the N unit, the 2nd one will come.

[00:17:54]You can come anytime.

[00:17:55]If so, the coordinate of this one P is How can we write it?

[00:18:00]First of all, this is the x coordinate, this is the y coordinate.

[00:18:02]The coordinate here is the x coordinate.

[00:18:04]What is that one's interior?

[00:18:07]Divide this by The coordinate of the point is y.

[00:18:12]The coordinate is Coordinate is Coordinate is Okay Up here, M.E.T.U.P.A.Y.

[00:18:22]ByA+M+A Similarly, if we say the y coordinate is M This is how it closes.

[00:18:29]We are very, very important.

[00:18:32]What did you learn? There is a line that says This is divided by the ratio of the internal If xy1 is x2y1, then its When we say coordinate, X If you say coordinate, it means METAPAVAVA.

[00:18:46]/M+A Kovai Coordinate If you say it, it will be done.

[00:18:52]ByA+A is a very very very important formula.

[00:18:55]That one point in the middle is for us.

[00:18:56]You will get it, maybe you will give this too, you will give this too.

[00:18:58]Then I'll ask this again.

[00:19:00]It is very important.

[00:19:01]External Division External How will the figure of the division come? The figure was drawn.

[00:19:05]After that, the line that ABN says is the same.

[00:19:07]If we say AB, we saw it earlier.

[00:19:09]A and B are the x-coordinates of A.

[00:19:12]The coordinate of B is x and the coordinate of Y is x.

[00:19:16]This external division here is called What does this mean, External Division?

[00:19:19]What I mean by that is here.

[00:19:21]What is Bill doing to extend the line?

[00:19:25]This is where you make it external.

[00:19:27]Let's say divide external How do they divide?

[00:19:29]What is meant is ratio, that is, A.

[00:19:32]If the total from P to M is If the total from here to here is M, then this What is a distance of n? This is what in mn Doing? Externally Divided It is said that AB This line is for everyone.

[00:19:46]There is confusion. Nothing Internal division within the first It's okay. Inside the line that says AB What happened in this case?

[00:19:53]The external division is AB.

[00:19:55]We have P outside the line.

[00:19:57]That's why it's called external.

[00:19:59]So while looking at it The one on the outside is small and the one on the inside is large.

[00:20:03]If the total is M from A to B What is N from B to B?

[00:20:08]If so, what is the coordinate of B?

[00:20:09]What is the other difference?

[00:20:10]Nothing.

[00:20:14]From beginning to end, just like before What can you see from A to P?

[00:20:18]They say, "Extend it here until" If you say divide by point E, If the total is M, then the outside is A.

[00:20:24]It is like before, M.A.M.T.U.

[00:20:28]Not from the beginning The minus here comes when it becomes external.

[00:20:32]There is no other difference except minus.

[00:20:34]My MyAY ByM MaE SoY Coordinate N If you say so, MyAy Bye mae this is very very important You should study it and get a chance to ask this.

[00:20:50]Yes Let's go ahead.

[00:20:55]It's not that important, it's okay.

[00:20:58]Let's look at the form of a line then.

[00:21:01]We can do a line in many ways.

[00:21:03]It is possible to write this very well.

[00:21:05]The first form is the slope, which is important.

[00:21:07]Intercept Form of a Line Up Slope The intercept form of a line is Y.

[00:21:11]EquaMA+ C means M in this.

[00:21:14]What do you mean by slope?

[00:21:16]Intercept made by Line Online Axis means that after I draw one This is the X axis and this is the Y axis.

[00:21:24]So if you draw a line like this, Cut the axis when the line is coming.

[00:21:29]This is the distance we are going to take.

[00:21:33]This is what it means Intercept Mud by Line on Y Axis EQMA+ The formula that CNN says is "We are one line".

[00:21:41]If we represent M slope If you say it will be C, this is one of the This is what the interceptor will be.

[00:21:46]The intercept is the second One point is a representation.

[00:21:51]Slope form of line one point What does slop mean?

[00:21:55]That's a point I'm an example of.

[00:21:57]If I say so, I will say something like this.

[00:22:00]This is the Y axis, drawing the coordinate.

[00:22:03]This is the x axis. So this one line This is how I draw. Up this one line We know one point x1 We haven't given the other one. So x1 A point that says It has been given. That's one point.

[00:22:14]Slope form. How are we doing, Dad?

[00:22:16]Can you tell me? Y y -Y1 =M inu x -A very very This one-point slope is important.

[00:22:24]So let's take two lines of a line.

[00:22:27]If you know the coordinate or x-axis What can we do, Slope?

[00:22:30]If we know, how can we use that one line?

[00:22:31]Let's represent Y Mavaiva = A EA -EVA The next point is very important.

[00:22:37]If you say "Foto Point Form", then As mentioned, what are the two points?

[00:22:41]We know that this line also has x I know the vibe, and I know the slope.

[00:22:46]If that's the case, what can we do?

[00:22:48]Let's say that Mavaiva = M E U A E V A I am talking about you.

[00:22:54]Equivalent Mavaivabada The thing is, let's go down the slope.

[00:22:58]What is it?

[00:23:01]If we say this, let's say that X.

[00:23:03]Which one will you see separately?

[00:23:06]Even if you give value, we will be satisfied.

[00:23:07]That's what you need to do from this one line.

[00:23:09]I mean, you're that deep.

[00:23:10]It's not something that should be done.

[00:23:11]Understandable Same here -1/x2 -a1 Let's find out both of these.

[00:23:18]If so, here we have the slope.

[00:23:19]I should have. The thing is x and the wife.

[00:23:21]Only I know. Next up Let's take the intercept form of a line and that's it.

[00:23:25]The intercept form is very important.

[00:23:27]If I say off-line, I mean it.

[00:23:29]If the figure is changed Here is the X axis and here is the Y axis.

[00:23:36]So I joined this landline.

[00:23:39]Once done, here is what I say: Assuming that point zero is B, this one Assuming that point zero is A, this one Distance A is this one distance B is that one Let's say A by A coordinate The intercept of A is A by A plus What is the intercept in the equation B?

[00:23:58]That one y coordinate in the y is called a y-coordinate.

[00:24:02]Let's call it even. From this we can This is how we get to the first equation.

[00:24:05]We call it the intercept form of the line.

[00:24:07]What they say is that all this represents a line.

[00:24:09]Ways to do it Next line with angle and A line with perpendicular distance A line comes like this, okay, that line is this.

[00:24:20]Axis This is the X axis.

[00:24:23]I am here for that one.

[00:24:26]Drawing the line That line There is a perpendicular distance, which means this There is a distance perpendicular to Distance from origin There is also an angle feed.

[00:24:39]Let's say the distance is P.

[00:24:40]If so, let's say this is a distance.

[00:24:44]This is theta, this is a distance P, we have X cos theta pavysai Theta is a distance P.

[00:24:51]These are rarely asked.

[00:24:53]Learn the remaining four forms like this: An origin is coming into the quest.

[00:24:57]Distance from that line Distance from that line P is the one that makes the right angle.

[00:25:02]From that origin, down the line If you say that one angle that is made If we say that the angle of the perpendicular If theta is x cos then Theta Pawaisai Thetacos Theta Exon with This derivation will come with the food.

[00:25:15]Don't study anything, just remember this.

[00:25:16]Maybe put The next one is very important for us.

[00:25:20]It's been a long time since I've eaten.

[00:25:21]Our area of ​​interest was asking Let's give the triangle three lines.

[00:25:26]Area of ​​triangle here is this one P What is perpendicular?

[00:25:30]Distance is distance from origin.

[00:25:32]Perpetual distance from the origin If you say theta, then the angle is witch.

[00:25:36]Normal Med with X Axis This is a 90 Degree item with X axis If you say anglepi made, this is it Did you learn perpendicular?

[00:25:47]Distance from origin is If we say theta, it means angle.

[00:25:54]If you say "normal" then that one 9 Degree normal Mud with X axis okay Here the area of ​​the trail is given by line A+B+S.

[00:26:09]= When C0A becomes zero, YC2B will also become zero.

[00:26:13]I will tell you when it will be ACBA.

[00:26:15]Inside this is a figure.

[00:26:17]What is being said here if you draw?

[00:26:19]Area of ​​triangle formed by line. So I am a The x coordinate is the x axis. This is y axis.

[00:26:25]Is.

[00:26:26]So we can come in many ways. I Here this one line this one AA+BA Our line is called zero.

[00:26:34]I'm assuming it's a general equation, so I'm not using x in this.

[00:26:36]When it becomes zero, X is zero.

[00:26:38]When is the y coordinate zero?

[00:26:40]When it comes to X, take zero here.

[00:26:41]After that, it will go to zero.

[00:26:43]This is my name, my name is byebye.

[00:26:46]What negative point will this one bring?

[00:26:48]Zero to minus Bye my c Bye is like that, bye si.

[00:26:55]If you say Y is zero, then Y is X.

[00:26:58]When it becomes zero, what are the two things I said here?

[00:26:59]That's why it's negative.

[00:27:00]Drawn. What will be the value of X?

[00:27:02]This comes out as -sa/a zero. So this one The line and this origin are made by Isn't this a triangle?

[00:27:12]Area of ​​this triangle This triangle is the same as that triangle.

[00:27:17]Area That's what we're going to find out.

[00:27:22]Four because there are three points Let's find out what the point is. Area of What is this when you say triangle?

[00:27:26]It will be a degree. Half today What will happen to this half today? What will happen to that half today?

[00:27:32]Length half Ibi Ici or The perpendicular minus sign of the base is It's my baby, we can call her [ __ ].

[00:27:41]What is the meaning of the word "Byte AB"?

[00:27:44]What is the value of a gift?

[00:27:46]This modulus is called square byte AB.

[00:27:49]AB Positive value Negative value It doesn't matter, the matter is minus and minus.

[00:27:52]What's up, plus up, AXPYPA?

[00:27:57]C makes the line that says zero The angle is our origin.

[00:28:01]What is the area of ​​the triangle formed?

[00:28:03]In other words, half ICI squared by modulus AB Maybe you can study it or We will have to learn how to draw figures.

[00:28:10]If you put it in, you can do it in one step.

[00:28:13]Now the next thing is the area of ​​the rhombus.

[00:28:15]The area of ​​a rhombus is not important.

[00:28:18]Formed by AA+BY+C Or maybe a month.

[00:28:26]Dad, that's the thing that comes in four coordinates.

[00:28:27]NA+BY+SA = Zero will be AEPBY Massa Zero will come, so is my bye here.

[00:28:35]Plus and plus can come, plus and minus can come Minus and plus can come Plus and minus can come Or it could be minus and minus and so on.

[00:28:40]All four points can come, that is, like this here A point is the point we have just seen.

[00:28:44]Where did you see it? Here, you see it, just like every other thing.

[00:28:46]As it changes, A+B+P+C The point being made here and there Will come here in zero time.

[00:28:53]X axis will come here Y axis Here comes the same two points Once we arrive, we will have a place here and there.

[00:28:57]You will get a rhombus, a rhombus like this.

[00:29:00]So it is a rhombus.

[00:29:01]If you are sitting Okay, we have a rhombus shape.

[00:29:05]If so, what is the area of ​​the rhombus?

[00:29:06]In other words, the area discovered earlier by Four E This area This area This area This area That is this one Four items in this one area below At the fair, here and there, four days ago Discovered area discovered earlier If we say area, then C squared by AB.

[00:29:18]It was when I was doing these four things.

[00:29:20]What do we get 2Sisk BuyAB?

[00:29:22]That's what I ask for, that's what I get.

[00:29:24]The formula for the area of ​​a rhombus is very The next one is important, now this one is next.

[00:29:30]Is it the old mains for the shepherd?

[00:29:32]A frequently asked question is the area of Triangle by Coordinates I know this is for some people.

[00:29:40]This video may seem difficult.

[00:29:42]What to do when taking an exam You have for maximum revision.

[00:29:46]Okafor Triagil Seed is for a purpose.

[00:29:49]Vertices ABCA Point B's point C's point We have been given three points.

[00:29:55]This is what I always ask about.

[00:29:59]The coordinate B is xyt is Coordinates If the coordinate is then the area of If you say triangle, you don't see it.

[00:30:08]Just study, not determinants.

[00:30:10]This is how it's done in writing.

[00:30:13]This is how you say the area of ​​writing.

[00:30:14]We write Area Equals Half.

[00:30:18]What did you study in Plus Two?

[00:30:21]x2 x3 then x1 will come. Here y1 is y2 is y3 Then 1 year will come. Half Inu is doing this.

[00:30:31]Cross multiply like this: xTwoOne Plus xTwo Mys xTwoTwoOne My wait That's what you do.

[00:30:47]It's better to study without watching the live broadcast.

[00:30:49]You can easily miss this.

[00:30:50]There is no other question to learn.

[00:30:53]This is how it comes.

[00:30:54]Getting up and going This is how you can take cross multiple difference x12 -A2 Half is common everywhere is x12 -a2y1 + x2y3 - x3y2 + x3y1 - x13 appa to learn this I'll tell you a little easier.

[00:31:16]Father, there are three points like this: three The point also has coordinates.

[00:31:19]If so, the area of ​​the triangle is If you say half, then it's half anyway.

[00:31:22]What will you write today x1 x2 x1 x3 You write.

[00:31:29]Then we will be in order.

[00:31:31]Going after Equa, White.

[00:31:33]Everything is minus now, sometimes it's the same.

[00:31:37]Plus this is Evato.

[00:31:39]Write now and then And then again, you will go away.

[00:31:46]Then we will go with him.

[00:31:49]Come and wait, come and wait.

[00:31:51]If you come and say "next thing" What is Vaitvaiva?

[00:31:54]It will go like this, in the same order.

[00:31:56]Will be Pothwaitavait Come, come Invivo Sorry, I came.

[00:32:05]Inivaivada xth is P2WayWayWayOne Then YY2YY Okay, then here and there, Yvon.

[00:32:18]MyY2 then remember one thing area off After asking for a trial, the exam When we are doing the quiz here, What you are doing is looking at the area of ​​trial.

[00:32:26]Half past one Half-hearted Write it down in the order and then we can The number that comes inside the brackets is minus.

[00:32:36]Mawait will come, then wait Mawait will come.

[00:32:40]Then, Vaivama.

[00:32:41]The thing here came here from there.

[00:32:43]Some things from nearby I will come here and give you a little bit of this.

[00:32:46]Anyway, you learned without seeing.

[00:32:48]Wait, this is really really cool.

[00:32:50]I have some formulas to learn, so I'll study them.

[00:32:52]After that, you will see the result.

[00:32:53]If we say collinear, there will be What A, B, and C are three collinear The point is the same as the joke.

[00:33:03]On the line A here B here C here same There is no triangle on the line.

[00:33:08]What will be the area of ​​the trail where the zero is?

[00:33:09]It will be the slope of ABC.

[00:33:13]If the slope of AB is What will be the BC slope of AC?

[00:33:16]That's why those points are there.

[00:33:18]What do you mean by collinear points?

[00:33:19]Says Three Points Corner What does it mean when you say that?

[00:33:23]All three will be on the same line.

[00:33:27]Three points That's why it's collinear.

[00:33:32]When the points ABCD are collinear What is the area of ​​trial?

[00:33:36]There is no area created.

[00:33:37]There is no triangle, area triangle.

[00:33:39]What will be the slope of zero?

[00:33:41]What is the equal of three?

[00:33:42]It will be now in the area code.

[00:33:45]Similarly xyvabtaytaytbafayfa It will be like this ABCD What is the formula for x2 x3 x4 up?

[00:33:58]Yes, I'm not saying you have to learn this.

[00:34:00]I didn't ask for this, if you want to learn You'll have to learn this without seeing it.

[00:34:03]There's no way, it's half past one.

[00:34:06]As done xvaedutteffa From then on, then There is seven, there is eight, there is eight, there is eight, then Where did you come from?

[00:34:19]Then, you can use the 2WayWay2Way.

[00:34:22]There is no other trick than seeing this.

[00:34:26]If you do, if you want this Study, it's not that important.

[00:34:30]I didn't ask if this was the formula.

[00:34:32]It's not that important.

[00:34:34]So I got more marks.

[00:34:36]I don't, but the triangle is very, very Direct questioning is important.

[00:34:38]I have asked this a lot.

[00:34:40]It is very, very important.

[00:34:41]This thing is not that important.

[00:34:44]If you want to learn, you can learn. I recommend it.

[00:34:46]Not doing it after asking Now, if you ask in one word, What will you do with these four points?

[00:34:52]This is the code letter written.

[00:34:54]Do you want Two triangles were found and two Triangle After finding the area, those two Just add it up, that's why I'm here.

[00:35:02]I don't insist on this.

[00:35:03]I'm not doing this, this, this.

[00:35:05]This is also the area of ​​a triage.

[00:35:06]This triangle area is formed by putting this and this Just find it and add the two together.

[00:35:09]The area of ​​the triage is very important.

[00:35:10]Okay, let's study it.

[00:35:14]Now some extra information.

[00:35:16]Let's just see if we don't need it.

[00:35:17]Perpendicular distance Now I am a Drawing a figure In this figure, this is the A axis, this is the Y axis.

[00:35:24]Act We have a line here, a point here.

[00:35:31]From a line it says xoneyone This is a point that says Is xyvon This is the point where you say, "Okay, xvii."

[00:35:43]I am the distance between the point and this line.

[00:35:45]Is this what you mean by point P?

[00:35:48]Distance is always 90 degrees.

[00:35:50]It says 90 degrees is the distance.

[00:35:52]If you say this is a line, then it is AA+By+S.

[00:35:56]What is this zero-up concept?

[00:35:59]Perpendicular distance from a point Two+boy+ = स means this is a line A+by+ Saying "So" and saying "Lineumpi" Or between the points you mentioned?

[00:36:10]If you say distance, What will the modulus be now?

[00:36:13]It will be positive.

[00:36:14]Distance is positive and is equal to AEVAEVPVYOnePassi Write down what is in C. Divide by root.

[00:36:23]What's up with that?

[00:36:26]Distance between a line and a line If you give an example, it will be 5A+T.

[00:36:31]This is also what is called 3y+za this zero The distance between the point 7 and the point N is What did you do after you asked?

[00:36:40]What is the modulus of distance?

[00:36:42]Its positive value obtained Take it.

[00:36:45]If we say that, we mean this.

[00:36:48]35Pawaiwaba If we say that, our coefficient is 3 * 5 15 +C 7 / Root of my square The square root of five is 49 25 74.

[00:37:03]Okay, Dad, this is how it will be.

[00:37:04]Doing. Learned this one thing Put it. It is very, very important.

[00:37:07]Then I will give you direct values. Now From Origin What does it mean?

[00:37:14]There is a point and a line.

[00:37:18]That line and this one, that zero zero and this one Saying that AX plus BY+Z = Zero The distance between the line is zero and zero.

[00:37:29]What is the distance between here and here?

[00:37:31]Zero is a two-way street, why are these two coming together?

[00:37:33]Zero is coming, zero is coming, this is both this and this This too will become zero, CY bye.

[00:37:40]Root of Escap B is very important.

[00:37:44]What is that line? What is the y coordinate of that line?

[00:37:47]Intercept Divide by Root of a Curve Well, that would be the origin of that one.

[00:37:54]Origin The distance between the end line is very important.

[00:38:00]This is a very important distance.

[00:38:02][Clears throat] Very importa There are now two paralines between two palaces.

[00:38:05]Lines i.e. A+B and passive Its two letters are Panjal A and B.

[00:38:11]What will be the name of it?

[00:38:12]Slope will be the same as slope What are you talking about, my little boy, here?

[00:38:16]What's up with the slope minus a baby bump?

[00:38:19]What is slope? What is slope?

[00:38:20]Two things that are the same are not parallel.

[00:38:22]If you say it, it will be the same slope.

[00:38:23]Only the intercept changes.

[00:38:25]Sometimes it's just a line.

[00:38:26]The intercept will be like this The intercept of the other is like this This will be the first intercept.

[00:38:30]If it is Siva, then the other interceptor What will happen if this is the railway line?

[00:38:34]It says parallel lines.

[00:38:36]It will be the same here.

[00:38:38]This intercept will be Only change will be made.

[00:38:40]Or what would be the ratio of this?

[00:38:42]It will be the same, it will be the same.

[00:38:46]The ratio will be the same. Maybe this is 5x + 3y + 8 = zero. Bread This and sometimes this 5 /10 = This could be 10x + 6y + 17 = zero.

[00:39:02]What is 5 bata by 5batbasava here?

[00:39:06]This stop is Baita. What is this one?

[00:39:08]The ratio will be the same for you.

[00:39:10]Not going.

[00:39:12]Where we will see it, we will see it in algebra here.

[00:39:15]Anyway, if these parallel lines Its distance is this distance between Two para lines are very, very important.

[00:39:22]Distance between two lines Distance, if you say so Which is the greater modulus of the Siva and the Masada?

[00:39:30]If so, the modulus to be written larger That's okay. Up its that c1 - c2 Everything else is the same. Divide by Root ofsk+Bsk very very This is an important formula. Distance Between two parallel lines. All this It's very easy if you study directly.

[00:39:43]What can you do about it? To you Items that can score marks This is very important for us now.

[00:39:49]These are the centers of truth.

[00:39:51]Daily is a regular question.

[00:39:53]Centroid centroid we geometry The centroid is studied.

[00:39:57]I am drawing this coordinate A BC.

[00:40:02]This is the triangle that says X.

[00:40:04]If you say B is one, it's a big deal.

[00:40:08]If you say "is C", it is "etwait" Is it the centroid, or the median?

[00:40:12]It is the point where everything joins together.

[00:40:14]The centroid of the What does coordinate mean?

[00:40:18]The x coordinate here That is, Evapaedapaetbatvai If we say coordinate, we say vaivapavaita+vaithba Direct is very, very important.

[00:40:27]You can score quickly.

[00:40:28]The center is now an area that can be reached.

[00:40:31]I am the incenter of this same circle.

[00:40:34]When we say incenter, we mean the angle bisector.

[00:40:35]The essence of what we meet The formula is AVP.

[00:40:44]By A+B+C If you say A and B, then this The opposite of A is the opposite of this.

[00:40:48]Small B is the opposite of Small C.

[00:40:50]Length is multiplied by side length.

[00:40:53]Its opposite Those at the vertex Its opposite works with its Opposite Work x3 ApoA1BA2 CA3 is the same as AY1BY2CY3 ByA+B+A+B+S After studying this, Mark studied.

[00:41:12]After that, Mark is the father of Cento.

[00:41:14]Asking, asked by the center.

[00:41:16]What can you do after that? Write Next Circumcenter This is you Circum center circum does not have to be studied When we say center, our Perpendicular bisector we meet Is it because it's what you're doing?

[00:41:28]If so, then X and I.

[00:41:31]The angle is the two times equal to the angle of this angle.

[00:41:37]What is the person here doing at that time?

[00:41:39]Easy to use Easy to use Easy to use If you learn one number the same way as the other, If you study this, you will learn.

[00:41:47]I don't say this to the centrist party.

[00:41:49]This is also what I learned.

[00:41:52]We don't need to learn.

[00:41:54]If this is A, we know that A is B.

[00:41:57]We are the center where we learned all this.

[00:41:59]I have studied geometry here.

[00:42:00]I have studied, if it is a circumcenter, then A circumference radius equal to the larger It's okay.

[00:42:07]Now One more thing, it's important.

[00:42:12]I have to look.

[00:42:15]If you look here, it's the midpoint.

[00:42:19]This one point is the midpoint.

[00:42:21]This is very important. This is CGN.

[00:42:22]I remember when I did the shift vice.

[00:42:24]I came here today on the CJ shift.

[00:42:26]Class time is midday.

[00:42:28]The perpendicular bisector of a point is This is forever.

[00:42:32]This is x2y2, this is the midpoint M.

[00:42:35]If so, what are my coordinates?

[00:42:36]What would it be like if you said xTupAvon?

[00:42:39]By2Way2PawYOne It will be Baidu, the two of them together.

[00:42:44]Just take half and you'll get the midpoint.

[00:42:45]You should pay attention to that. Okay, next time, remember?

[00:42:49]Center and Ortho Center There is an important equation.

[00:42:54]But you don't have to learn the triangle.

[00:42:56]Altruism and Circumstance on ABC If we say circle ortho center What is the meeting of all the Allreds?

[00:43:01]That's the point. Audi Perpendicular BC And also The CD is equal. This What is perpendicular when you say Audi?

[00:43:10]The bisector is the midpoint of the angle.

[00:43:13]The midpoint we mentioned earlier If This is a white one.

[00:43:19]This is the second, this is the fourth.

[00:43:25]This is not the center, this is our circumcenter.

[00:43:27]Same Circum The center itself is the circumcenter of our Perpendicular bisector placed It's okay to have it, Audi BC.

[00:43:36]If you say BD and BC are Audi What is a perpendicular bisector?

[00:43:43]This is a little more for those who have studied geometry.

[00:43:44]Can connect We said midpoint.

[00:43:48]xtapatebtawhite+y3/2 Slope of Audi I Slope of BC If you say so, then Mainava has already put this CGL The question has been asked for 2025.

[00:43:59]We are doing the shift.

[00:44:01]Vice. That is, a line like this It is the perpendicular bisector. That line and that The equation of the line will be asked. Or this I will ask for the equation of BC. Let's There are only two things. One D's Let's find the point. Both of these Add this and that, and half.

[00:44:15]Half. Then the slope of the Audi Kara 9 Will be. Perpendicular bisector Will be. Slope of D Slope of If you say BC, it will be minus one.

[00:44:21]The intersection of two perpendicular lines The product of the slope minus one You must have seen it before. That Question Direct I have asked.

[00:44:28]Now the coordinate of the orthosis Those who are learning can learn. That's it.

[00:44:33]It's a figure. Ibiza Y1 x2y2 x2y3 If so, then Orthosa Raw x to put xD To put, to When you get to the other side, you'll be in place.

[00:44:53]Those who study on the spot can study.

[00:44:56]Not necessarily.

[00:44:58]Maybe I'll write when I get there. Now The eccentric asks. Excenter If you say that, X circle off Triangle doesn't need this.

[00:45:06]Exterior bisector exterior Angle of bisector of exterior angles Circle with bisector joined Is. No, it's full, you can have them.

[00:45:15]No need to. So deep We don't ask. Without seeing it Learning is so practical.

[00:45:21]It's not possible.

[00:45:25]Let's look at some special properties.

[00:45:28]X1 Y1 X2 Y2 It is an eclata aves saying that What is the third vertex if xvapaedupa or minus root ivaiva May 2/21+Y2+ Oh, if you want, you can study for x1 -A2/2.

[00:45:47]Note important Similarly x1 x2 x3 consecutive Vertices of a palogram then fourth What is Vertex Fourth Week?

[00:45:57]If you want this, put it here.

[00:45:58]Eat it, eat it, eat it.

[00:46:01]If you put the fourth number, it will be xva maedapaet.

[00:46:05]This is the difference between the first two.

[00:46:07]Take this and add this.

[00:46:10]Take the difference of this next Add Consecutive Weeks This is Let's study it now, the circle is very This circle is important.

[00:46:16]This is a problem for many people in coordinate geometry.

[00:46:19]To do without knowing the equation There is no way around this circle.

[00:46:22]I drew a circle inside a circle.

[00:46:25]The center of the circle is HK.

[00:46:26]The center of a circle is a point inside it.

[00:46:29]It's P, and its coordinate is xy.

[00:46:32]So the standard equation was learned.

[00:46:33]Should be placed. x -esp y-co sq = square of radius where If we say H, what is the x of the center?

[00:46:41]What does it mean when you say K is the coordinate?

[00:46:43]The y coordinate of the center is.

[00:46:44]We know that X minus H is the whole.

[00:46:47]Square Plusy Moscow Square Square If you say "it will be okay" What will our center be? The center is That radius is very, very off-circle.

[00:46:56]It is important that we leave this Now we can do some quests.

[00:46:59]Reflection Reflection A lot I have asked, if you say reflection What is it that we see in the mirror? Mirror image.

[00:47:05]Haven't you studied reasoning? That's a thing.

[00:47:07]What is mirror image reflection?

[00:47:10]How can we do it then?

[00:47:13]Okay It is a mirror image.

[00:47:20]After looking here, it's original.

[00:47:22]Reflection Reflection means What are you doing in this mirror?

[00:47:26]You'll see, it's very easy, nothing up I did it.

[00:47:30]The first case is the one in origin.

[00:47:33]What is the base, leaving the origin?

[00:47:35]What can I ask you to do?

[00:47:38]What What is the basis for reflection?

[00:47:41]Can I ask you two or three examples?

[00:47:43]When I say that, I mean, the origin is zero zero.

[00:47:46]There is a point called xy, this Let X be this point, Y is this point.

[00:47:51]So at this point the x coordinate is x.

[00:47:53]The y coordinate is If you say reflection, then... Origin based on Origin is here What can I do with the distance? I have to come here too.

[00:48:02]That's what you should come to the opposite side.

[00:48:04]This is what is called reflection.

[00:48:05]If the distance from here to here is x, then here How much will it be until here?

[00:48:09]The distance here will be the same distance.

[00:48:11]It will be miles away from here.

[00:48:13]What would be the point of this minus?

[00:48:14]It is E. Now how far is y from the meli?

[00:48:16]The distance up is y, which is four.

[00:48:18]After saying five, here it is.

[00:48:20]There will be four units up to here.

[00:48:21]There will be five units in Melilot. This If the distance is y, how far down will it go?

[00:48:25]The same thing will come down. Y distance He will come. But it's negative. Up this MyOne MyWay That's what it says xy.

[00:48:33]Reflection of the point along the origin Or based on origin?

[00:48:37]What would it be like if you said it? -A - Next Reflection Across Figure One Drawn It will be easy for you after that.

[00:48:42]You can do all the questions.

[00:48:44]Reflection across y = x y = a What if I say that now I have an x ​​axis and a y axis?

[00:48:49]After drawing the axes, Up here reflection across =A That is to say, Y axis and A axis are equal.

[00:49:00]What can we say in that case?

[00:49:05]This one Think about the line and see if it makes sense.

[00:49:10]If you say zero, then zero zero one.

[00:49:12]If Y and V are X and V are my one If X and Y are two, then Edu and Y.

[00:49:20]If it is a mistake, then this is it.

[00:49:23]We are the line that says "Our YA".

[00:49:25]This is the line I used to study in school.

[00:49:29]The line that says EQ is placed on this Reflection means this one point X Let's base this on Y.

[00:49:37]If we say reflection, it is the same distance.

[00:49:39]How far is it from here?

[00:49:40]Will come here, what will it be?

[00:49:42]Ekwai is this reflection?

[00:49:44]What do you mean by this?

[00:49:45]This is the distance from here, I am here.

[00:49:47]How much is it here if you take it?

[00:49:48]That's how far it is from here.

[00:49:50]What if the distance from here is YY?

[00:49:51]It's coming soon, you should pay attention to it.

[00:49:55]If you hear this, please pay attention.

[00:49:57]Isn't this what they say?

[00:50:00]What does this one point mean?

[00:50:04]This is a point on the equation.

[00:50:06]When asked for reflection on this What is the x coordinate and what is the y coordinate?

[00:50:10]What is it?

[00:50:13]Look at this up here.

[00:50:16]What is the x coordinate? What is this distance?

[00:50:19]Having What is this distance from here? What is this?

[00:50:23]If this is Y, what is this and what is E?

[00:50:25]Okay, that's this distance.

[00:50:28]If it's the line that says, I For example, here Any one point is two or three.

[00:50:31]If so, then this line base If we say reflection by doing, What will happen here?

[00:50:41]Three also say, "This is two."

[00:50:43]The point will be the reflection of this.

[00:50:44]Let's take a look at this and figure it out.

[00:50:46]When the point comes, you can draw Can it be set or YA?

[00:50:50]If the line says Here x is the point where y is If you say reflection, it becomes YA.

[00:50:58]Study it.

[00:51:00]So we saw that if xy is y, then this is mine.

[00:51:02]If this is what we see here, this is What will come y x will come. Okay, let's say y = x.

[00:51:06]This is the line that says. Reflection across y = -x This is the point where y = -x This is the line [clears throat]. y = -x If this is the point called xy What will happen? -y maay = -a is a Reflections of Reflection This is great It's not important, it's very important.

[00:51:24]No, let's look at the reflection.

[00:51:26]Reflection on the axis yy axis Reflection is based on the axis.

[00:51:31]If a point is this, what is it?

[00:51:33]I will be the example when the mini-AQ comes.

[00:51:35]If I may say so, this is three and two.

[00:51:37]I am basing it on Wacho Evy Axe.

[00:51:40]What is being done is taking reflection.

[00:51:41]So here is one of our What is the basis for this?

[00:51:46]What is the distance from here? What is this?

[00:51:48]Will this be this far?

[00:51:50]It will come from here and there, here and there.

[00:51:52]If three go, what will come here?

[00:51:54]If it's plus three, this will be minus three.

[00:51:56]What is the same as the same?

[00:51:58]The distance is the same as above.

[00:52:00]When my it is 3, it will be my itay When it becomes x, when it becomes y, the axis Minus AY when you look at it.

[00:52:08]Oh, you're not studying like this, are you?

[00:52:09]If you learn by example It will be easy and in this case too This is how you are.

[00:52:14]Study yourself reflection If we say cross y = -a, then xy Reflection of the said point -y -a Both will go negative.

[00:52:22]When is the other?

[00:52:24]The meaning of saying xy is also the meaning of A.

[00:52:26]Turn around and come back x come back If so, both will be minus in this case.

[00:52:32]If the reflection is OY = A, then What does reflection mean?

[00:52:37]Maybe you can learn this without watching it.

[00:52:39]Let's draw that one figure in 3D.

[00:52:42]It's not possible, that's why we have to do it.

[00:52:43]I can't take that distance.

[00:52:45]What can be done to take distance here?

[00:52:46]Okay. This is what this fourth one is asking for.

[00:52:48]This too will be asked on point.

[00:52:50]I will ask the first point. How is this?

[00:52:51]I haven't asked. y = x Saying. This is very important.

[00:52:55]Reflection over the Y axis. Understood I believe that. This is very It is important. This is reflection.

[00:52:58]Asking. Here and there The distance will be the same.

[00:53:02]Reflection over x axis. X Axis What do you mean? Here is this X This is a point x y on the axis.

[00:53:08]If so, then what is called reflection?

[00:53:09]What will it be? The same distance down Will be. The same distance down Will be. The x coordinate does not change.

[00:53:14]But what will the y-point do minus So I'll give you an example like before.

[00:53:17]If it comes, it says "this is it".

[00:53:19]If it is a point, its reflection is over If you say X, it means that you are in the same fair.

[00:53:22]The distance will come down to 2 to 3.

[00:53:24]If there is a fair game, three will come down.

[00:53:26]My reflection is that x my If we say over y = ay constant Why is this constant? That's x It is a line parallel to the axis. Sorry If we say y = a, then it is parallel to the x axis.

[00:53:40]It is a fixed line. This means that y = a So this line is parallel to y.

[00:53:44]=TAE The line parallel to the axis is called the base.

[00:53:47]If this is the third one, here What to do? This is the point I'm looking at.

[00:53:53]If there is something, it is something.

[00:53:54]Will be up.

[00:53:57]This is a linear equation.

[00:53:59]Okay, then I'll give you an example.

[00:54:00]A little clearer when it comes to examples.

[00:54:02]Let me give you an example.

[00:54:06]If we say this is a line, then y = t.

[00:54:10]I need Here is three wide.

[00:54:18]There are 3 points, which is called up 3.

[00:54:20]I have a reflection after leaving the point.

[00:54:22]So what should we base it on?

[00:54:24]The line that says "I've done it" is baseless.

[00:54:26]I have done the boon, take the boon, and return the boon 3.

[00:54:30]I thought about it for a moment.

[00:54:31]Look, the distance here is the same distance.

[00:54:33]I want to come down, what's the point?

[00:54:35]If you want to base this, here is what If it were here, it would have been given.

[00:54:38]Everything will be the same here, but... But this one distance here here From distance two to three It is a unit. One unit What is a unit if it goes up?

[00:54:47]We will go down at two o'clock.

[00:54:50]Otherwise it would be three one, this is three.

[00:54:52]If so, this will be three one, that's ours.

[00:54:53]This distance will be the same, this distance will be here.

[00:54:55]If we go here as a unit One unit here and there Will be. For the X here If you say there is no change, this is what happens.

[00:55:00]This is what it means to learn without seeing.

[00:55:02]It's okay to learn by example.

[00:55:04]This is 2 EU here, learning from what happened.

[00:55:07]2 What can we do here? Here we have 2 places.

[00:55:10]If you say "yes, my life", it means 2 ida 2 iu 2 If you say "Okay", here is "t".

[00:55:18]That being said, here is what we have today.

[00:55:20]We will come as one without seeing 2A as a mai.

[00:55:22]No need to learn Directly drawn Just look at it and let's draw it next.

[00:55:26]Reflection over x = A and that's enough deflection If we say over x = x = constant What if x is a constant?

[00:55:33]The Y axis is parallel to the Y axis. This is the base.

[00:55:36]What is this, If the point is here, this is 2A.

[00:55:40]Well, I said it as an example.

[00:55:42]Let me give you this, same as before, x = t We have three points, three points.

[00:55:50]Asked for reflection based on this After that, the distance to this place will be given.

[00:55:52]Distance from here This one is three out of two.

[00:55:57]The unit goes here and there.

[00:55:58]What will you do? One unit will be less.

[00:56:00]Two to three One less, one more here One will be three, no change, same thing.

[00:56:07]It will stay like this for 2 hours and will come in 2 hours.

[00:56:10]x = 2, which means you don't have to study anything.

[00:56:13]Look at the reflection of the line that says What happens if it's three after that?

[00:56:17]This one, three, there's no change, so... It will be easy once you learn it, just S is enough So, do you understand?

[00:56:29]Do you understand things 2A MAE or 2 MI?

[00:56:32]Don't look at me, just chat and do whatever you want.

[00:56:34]This reflection that you have done is very important.

[00:56:36]Is. Reflection is important. I What did you say was important?

[00:56:39]You have to learn all that. So necessary Only things have been said. This I have an hour to tell you.

[00:56:43]Took. In class we are Max Special.

[00:56:45]I will study completely in the batch.

[00:56:46]I know many people understand this.

[00:56:49]Not found. Nothing for those who are bigger.

[00:56:50]Sometimes I don't understand. My The intention is to be a revision.

[00:56:54]I just said that the revision is set.

[00:56:56]I think.

[00:56:57]You can give it as a comment.

[00:56:59]Your feedback. Okay, thank you.